Preheat the oven to 350ยบ F and grease the mini muffin pan with vegetable oil.
In a large bowl, stir together the whole wheat flour, rolled oats and baking powder. In a separate bowl, whisk together the eggs, oil, honey and applesauce. Add the wet ingredients to the bowl of dry ingredients and mix together. Fold in the grated apple and cheddar.
Spoon out the batter into the mini muffin tin, about a tablespoon each. Cook for about 12-15 minutes until cooked through. Let cool.